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HE FAMOUSLY SAID THAT HE COULD TOPPLE THE EARTH IF GIVEN AN APT PLACE TO STAND ON
A lever is a machine consisting of a rigid rod pivoted at a fixed hinge, or fulcrum. In his book On the Equilibrium of Planes, Archimedes proved the law of the lever using geometric reasoning. It shows that if the distance a from the fulcrum to where the input force is applied (point A) is greater than the distance b from the fulcrum to where the output force is applied (point B), then the lever amplifies the input force. Archimedes understanding of his principle of mechanical advantage caused him to remark, ‘Give me a place to stand, and I shall move the Earth with it’. Hypothetically speaking, the distance required to do this might be exemplified in astronomical terms as the approximate distance to the Circinus galaxy, about 9 million light years away
他说过一句名言,如果给他一个合适的立足点,他可以颠覆地球
杠杆是由一根在固定铰链或支点处转动的刚性杆组成的机器。在他的《平面平衡》一书中,阿基米德用几何推理证明了杠杆定律。它表明,如果从支点到施加输入力的地方(点A)的距离A大于从支点到施加输出力的地方(点B)的距离B,那么杠杆放大了输入力。阿基米德对他的机械效益原理的理解使他说:“给我一个支点,我可以用它来移动地球”。假设来说,这样做所需的距离可以用天文学术语来举例说明,大约是到Circinus星系的距离,大约900万光年。
A cartoon of Archimedes moving the earth with the aid of a lever
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